Abstract
First. a wake with positive buoyancy from a circular cylinder is formulated as a three dimensional and time dependent behavior of compressible fluid flow. Next, numerical methodology for the wake is obtained by employing the grid generation by solving the elliptic partial differential equations and by extending the HSMAC method to compressible fluid flow. As a result, in an isothermal wake, the above formulation and methodology becomes those for an incompressible fluid flow. The Strouhal numbers, time averaged drag coefficients, rms amplitudes of the lift coefficient, distribution of the vorticity with the cylinder axis direction, and streaklines obtained by the present computation at the Reynolds numbers 100 and 300 agree well with the previous studies. Furthermore, the time averaged mean Nusselt numbers obtained by the present computation at the Grashof numbers 0 and 490 and the Reynolds number 70 agree well with the previous studies. The present formulation and methodology are therefore validated.
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